Normalized measures of concavity and Ross’s strongly more risk averse order

The Arrow-Pratt (A-P) definitions of absolute and relative risk aversion dominate the discussion of risk aversion and defining “more risk averse”. Ross (Econometrica 49:621–663, 1981) notes, however, that being A-P more risk averse is not sufficient for addressing many important comparative static questions. Consequently he introduces “a new and stronger measure for comparing two agents’ attitudes towards risk…”. Ross does not provide a corresponding measure of risk aversion. This paper uses a normalized measure of concavity to characterize the Ross definition of strongly more risk averse on bounded intervals. Other properties and uses of these normalized measures of concavity are also presented.     

Risk seeking with diminishing marginal utility in a non-expected utility model

The present work takes place in the framework of a non-expected utility model under risk: the RDEU theory (Rank Dependent Expected Utility, first initiated by Quiggin under the denomination of Anticipated Utility), where the decision maker's behavior is characterized by two functionsu andf. Our first result gives a condition under which the functionu characterizes the decision maker's attitude towards wealth. Then, defining a decision maker as risk averter (respectively risk seeker) when he always prefers to any random variable its expected value (weak definition of risk aversion), the second result states that a decision maker who has an increasing marginal utility of wealth (a convex functionu) can be risk averse, if his functionf issufficiently below his functionu, hence if he is sufficientlypessimistic. Obviously, he can also be risk seeking with a diminishing marginal utility of wealth. This result is noteworthy because with a stronger definition of risk aversion/risk seeking, based on mean-preserving spreads, Chew, Karni, and Safra have shown that the only way to be risk averse (in their sense) in RDEU theory is to have, simultaneously, a concave functionu and a convex functionf.     

Defining the boundaries: social worker assessment of sexual abuse in a cultural context – multivariate analysis of personal and professional factors influencing social workers' labelling of intimacy behaviour

To explore personal and professional factors influencing social worker assessment of family intimacy behaviour in diverse cultural groups, a 27‐item questionnaire was mailed to a random, stratified sample of MSW‐level social workers. The instrument measured rank‐order responses to 10 questions about attitudes towards public exposure to sexual stimuli and rank‐order responses to questions about three vignettes depicting culturally informed family intimacy behaviour. The instrument also measured sample characteristics such as area of social work practice and per cent of caseload involving sexually abused as well as diverse clients. Completed questionnaires (n = 387) were analysed for association between respondents' definition of intimacy behaviour (dependent variable), attitude towards sexual stimuli, and intervening variables thought to explain variance in the dependent measure. Labelling theory provided a basis for hypotheses testing. When mean attitude scores were correlated with mean definition scores, Pearson's r returned a significant low, positive association between conservative attitudes towards exposure to sexual stimuli and definitions of cross‐cultural scenarios as sexual abuse. Holding attitude scores constant, regression modelling of the sample's definition of scenarios indicated that practice area, minority status, and per cent of caseload with sexual abuse clients were significant predictors of R² change in the dependent variable. Further analysis of data through regression tree modelling showed that a small group of conservative practitioners with ethnically diverse caseloads were more likely to label culturally influenced behaviours as deviant. Among conservative practitioners with less diverse caseloads, number of hours in sexuality training had a moderating influence on deviancy labelling. Tree modelling of the data also indicated that an ethnic minority subgroup within the sample accounted for the lowest ranking of scenarios as sexual abuse. Results support earlier work on social worker assessment of child maltreatment as a function of agency setting. Another implication for social work is the need for practitioners to understand their attitudes towards human sexuality in relation to assessment of diverse patterns of childhood sexual socialization.     

On the definition of risk aversion

Two definitions of risk aversion have recently been proposed for non-expected utility theories of choice under uncertainty: the former refers the measure of risk aversion (Montesano 1985, 1986 and 1988) directly to the risk premium (i.e. to the difference between the expected value of the action under consideration and its certainty equivalent); the latter defines risk aversion as a decreasing preference for an increasing risk (introduced as mean preserving spreads) (Chew, Karni and Safra 1987, Machina 1987, Röell 1987, Yaari 1987).When the von Neumann-Morgenstern utility function exists both these definitions indicate an agent as a risk averter if his or her utility function is concave. Consequently, the two definitions are equivalent. However, they are no longer equivalent when the von Neumann-Morgenstern utility function does not exist and a non-expected utility theory is assumed. Examples can be given which show how the risk aversion of the one definition can coexist with the risk attraction of the other. Indeed the two definitions consider two different questions: the risk premium definition specifically concerns risk aversion, while the mean preserving spreads definition concerns the increasing (with risk) risk aversion.The mean preserving spreads definition of risk aversion, i.e. the increasing (with risk) risk aversion, requires a special kind of concavity for the preference function (that the derivatives with respect to probabilities are concave in the respective consequences). The risk premium definition of local risk aversion requires that the probability distribution dominates on the average the distribution of the derivatives of the preference function with respect to consequences. Besides, when the local measure of the first order is zero, there is risk aversion according to the measure of the second order if the preference function is concave with respect to consequences.Yaari's (1969) measure of risk aversion is closely linked to the r.p. measure of the second order. Its sign does not indicate risk aversion (if positive) or attraction (if negative) when the measure of the first order is not zero (i.e., in Yaari's language, when subjective odds differ from the market odds).     

No-betting Pareto under ambiguity

It has been argued that Pareto-improving trade is not as compelling under uncertainty as it is under certainty. The former may involve agents with different beliefs, who might wish to execute trades that are no more than betting. In response, the concept of no-betting Pareto dominance was introduced, requiring that putative Pareto improvements must be rationalizable by some common probabilities, even though the participants’ beliefs may differ. In this paper, we argue that this definition might be too narrow for use when agents are not Bayesian. Agents who face ambiguity might wish to trade in ways that can be justified by common ambiguity, though not necessarily by common probabilities. We accordingly extend the notion of no-betting Pareto dominance to characterize trades than are “no-betting Pareto” ranked according to the maxmin expected utility model.

     

A Client Satisfaction Measure of Homecare Services for Older Adults

Client satisfaction can be used as an indicator for service quality. Without concrete feedback from clients, however, the usefulness of client satisfaction data for service improvement can be limited. This study described the development of a client satisfaction measure that can be used to provide concrete feedback for service providers. Based on a conceptual framework proposed in the literature, the Client Satisfaction: Home Care (CSAT-HC) uses a client-centered perspective to measure client satisfaction for homecare services for older adults. A survey of 200 older adults receiving homecare services provided by a social service agency in a large U.S. Midwest city was conducted to assess the psychometric properties of CSAT-HC. Results based on the 156 completed surveys show that CSAT-HC has good validity (correlation r = .62 with a popular client satisfaction measure) and test-retest reliability (r = .75). These results indicate that CSAT-HC is a valid and reliable client satisfaction measure; and therefore, providers of homecare services for older adults can use CSAT-HC to obtain client feedback for quality assurance or program evaluation purpose. Future research may use CSAT-HC to explore the potential influences of quality of homecare services on the well-being of older adult clients.     

Power inequalities

This paper aims to give determinate sense to the claim that there are inequalities of power by outlining a procedure in terms of which individual acts of power can be measured. Noting that problems in the definition and measurement of power are closely related, the paper criticizes one analysis of power which defines the notion in purely causal terms. It argues that such a definition inevitably leads to difficulties in quantifying power, and is in any case deficient. Power is instead defined by reference to the notion of coercion, where this idea is itself explicated in terms of threats. A measure of power is developed from this definition, so that power is quantified by the degree of deprivation that one person can impose upon another. The paper concludes by noting that an adequate measure of power at the social level depends upon inter-personal welfare comparisons, but that this does not mean that the idea of power inequalities cannot be given determinate sense.     

Daily links between school problems and youth perceptions of interactions with parents: A diary study of school‐to‐home spillover

This study examined how academic and peer problems at school are linked to family interactions at home on the same day, using eight consecutive weeks of daily diary data collected from early adolescents (60% female; M age = 11.28, SD = 1.50), mothers and fathers in 47 families. On days when children reported more academic problems at school, they, but not their parents, reported less warmth and more conflict with mothers, and more conflict and less time spent around fathers. These effects were partially explained by same‐day child reports of higher negative mood. Peer problems were less consistently associated with parent‐child interactions over and above the effects of academic problems that day. A one‐time measure of parent‐child relationship quality moderated several daily associations, such that the same‐day link between school problems and child‐report of family interactions was stronger among children who were closer to their parents.     

Feeling the unseen: imagined touch perceptions in paranormal reality television

ABSTRACT

In paranormal reality television, the medial evidence of senses adding to the visual and auditory may produce the most compelling intermedial experience. When little can be seen or heard, the lasting impact of a ghost hunting show may rely on what it makes the audience feel through the sense of touch. Even if the touch perceptions were imagined – or precisely because they were imagined – the experience can be all the more powerful. Intermediality research supplies the rhetorical devices of ekphrasis and hypotyposis as tools for a study of the television show Ghost Adventures. A definition of senses as media is advanced in conjunction with a three-tier model of mediality to lay open the intermedial experience involved in imagined touch perceptions as medium-specific instances of rhetorical figuration.     

More on Plagiarism in the Social Sciences*

This research presents the results of a follow‐up survey to journal editors more than a decade after Enders and Hoover (Journal of Economic Literature 42(3):487–93). The original survey asked editors about their definition of plagiarism and known cases. This work investigates what, if anything, has changed in regards to how journal editors react to suspected plagiarism and if the definition of plagiarism has changed. In addition to surveying editors of economics journals, we have surveyed many more editors, including political science, sociology, and others, to contrast differences that might exist. There is great variation within disciplines regarding the appropriate definition of plagiarism or punishments but fairly consistent agreement across disciplines.     

Disappointment without prior expectation: a unifying perspective on decision under risk

The central idea of Disappointment theory is that an individual forms an expectation about a risky alternative, and may experience disappointment if the outcome eventually obtained falls short of the expectation. We abandon the hypothesis of a well-defined prior expectation: disappointment feelings may arise from comparing the outcome received with anyof the gamble’s outcomes that the individual failed to get. This leads to a new, general form of Disappointment model. It encompasses Rank Dependent Utility with an explicit one-parameter probability transformation, and Risk-Value models with a generic risk measure including Variance, providing a unifying behavioral foundation for these models. JEL Classification D80 . D81     

THE DEBATE ABOUT HOMELESSNESS

Three definitions of homelessness which have been influential in Australia may be categorised as the literal, the subjectivist and the cultural. The literal definition equates homelessness with ‘rooflessness’. The subjectivist definition attempts to establish homelessness ‘ by asking people about the adequacy of their accommodation The cultural definition argues that homelessness is an objective category which is not dependent on people's perceptions. From examining the usefulness of the three definitions in relation to a large body of data collected at an agency providing services for homeless people, we may contend that homelessness is best treated as a concept like poverty, which should be measured objectively and not depend on people's perceptions.     

The Backward Induction Argument

The backward induction argument purports to show that rational and suitably informed players will defect throughout a finite sequence of prisoner's dilemmas. It is supposed to be a useful argument for predicting how rational players will behave in a variety of interesting decision situations. Here, I lay out a set of assumptions defining a class of finite sequences of prisoner's dilemmas. Given these assumptions, I suggest how it might appear that backward induction succeeds and why it is actually fallacious. Then, I go on to consider the consequences of adopting a stronger set of assumptions. Focusing my attention on stronger sets that, like the original, obey the informedness condition, I show that any supplementation of the original set that preserves informedness does so at the expense of forcing rational participants in prisoner's dilemma situations to have unexpected beliefs, ones that threaten the usefulness of backward induction.     

Applying narrative analysis to the process of confirming or disregarding cases of suspected sexual abuse

This article analyses discourse about sexual abuse at a detention home for young women. At the centre of attention is staff members’ struggle with the process of confirming or disregarding cases of alleged sexual abuse. The determining factor for establishing an act as sexual abuse was whether or not the act involved a person who was defined as a victim. A core issue in the process was an evaluation of the credibility of the alleged abused girl and the degree of consent. The unintended result was that many of the girls’ narratives were never confirmed. The article argues that there is no objective ‘given’ regarding the definition of sexual abuse. To be involved in the process of understanding and establishing an act as sexual abuse means being involved in a process of social definition. To be able to handle such involvement constitutes a fundamental professional issue in social work. Adopting a narrative approach to the process of confirming or disregarding cases of suspected sexual abuse shifts the focus from developing categories of social problems and work on the basis of them to developing ways of listening to young people and allowing their narratives to provide a point of departure.     

Sophisticated voting under the plurality procedure: A test of a new definition

The Niemi-Frank definition of sophisticated voting can now be evaluated on two grounds. First, we can compare our definition to Farquharson's. For the most part, the two definitions yield identical outcomes. Both pickCondorcet winners a very high proportion of the time and prevent the selection of Condorcet losers. The major differences are in the logic underlying the two definitions and in the rate of determinacy of outcomes. Here there is a tradeoff. The logic underlying the Farquharson model is especially persuasive, although it is our feeling that the Niemi-Frank definition comes closer to mirroring the way in which voters might actually analyze a plurality situation. In any case, the price paid by the Farquharson definition for its ironclad logic is a much higher rate of indeterminacy. In over half of the cases, the Farquharson logic fails to lead to any conclusion whatsoever. The Niemi-Frank definition yields many more determinate situations, with mostly Condorcet winners and with strategies that make good, if not completely unassailable sense. A second way of evaluating the Niemi-Frank definition is in comparison with sincere voting. A commonly-cited shortcoming of plurality voting is that often fails to choose a Condorcet winner. As we notedearlier, sophisticated plurality voting, unlike binary voting, is imperfect in this respect. Nonetheless, even taking account of the indeterminacy thatremains in the Niemi-Frank definition, sophisticated voting picked a Condorcet winner about 10 percent more frequently than did sincere voting as well as eliminating the possibility of a Condorcet loser being chosen. By this measure, the Niemi-Frank definition is not only acceptable but suggests that this form of strategic behavior actually leads tobetter outcomes. By proposing and now by testing a new definition of sophisticated voting under plurality rule, we have begun to make some headway on understanding strategic behavior and its effects in an outwardly simple yet deceptively complex voting system. We are, of course, far from finished. Most significantly, our definition applies to only three alternatives, and Farquharson's (even if one is willing to live with its high indeterminacy) becomes extraordinarily cumbersome with more than three alternatives? In any event, the results of this foray into sophisticated nonbinary voting suggests once again that strategic behavior, rather than making things worse, improves the chances that the outcome will be the one most favored by the majority criterion.     

Binary Relations: Finite Characterizations and Computational Complexity

A characterization of a property of binary relations is of finite type if it is stated in terms of ordered T-tuples of alternatives for some positive integer T. The concept was introduced informally by Knoblauch (2005). We give a clear, complete definition below. We prove that a characterization of finite type can be used to determine in polynomial time whether a binary relation over a finite set has the property characterized. We also prove a simple but useful nonexistence theorem and apply it to three examples.      

Left-Side strong increases in risk and their comparative statics

This paper introduces a new concept of left-side strong increases in risk (L-SIR) that extends the definition of strong increases in risk (SIR). We also provide somewhat stronger restrictive set of risk-averse decision-makers with a non-negative third derivative utility (prudence) to obtain an appealing comparative statics result for L-SIR.The authors gratefully acknowledge the helpful comments and suggestions of an anonymous referee     

Bhaskar and Bunge on Social Emergence

This article discusses the theories of social emergence developed by Roy Bhaskar and Mario Bunge. Bhaskar's concept of emergent causal power is shown to be ambiguous, and some of the difficulties of his depth-relational concept of social emergence are examined. It is argued that Bunge's systemic concept of emergent property is not only different, but also clearer and more consistent than Bhaskar's concept of emergent causal power. Despite its clarity and consistency, Bunge's definition of the concept of emergent property is shown to be too broad and analytically imprecise for the purposes of an emergentist social ontology. It is argued that Bunge's systemic account of social emergence can be developed further by using William Wimsatt's gradual approach to emergent phenomena and his four conditions of aggregativity of a systemic property. It is shown that these conditions provide useful conceptual tools for clarifying and investigating different kinds of mechanisms of social emergence and developing stronger varieties of the concept of emergent social property than that indicated in Bunge's definition of this concept.     

Protective indigenous collective value of Ubuntu and child neglect: Implications for rural child protection practice

Theories on collective efficacy and social support suggest that indigenous values that support collective practices and sanction community obligations to childcare would be protective against child neglect. Likewise, new qualitative findings show that collective values are stronger in rural areas than in urban. This study tested the claims that the value of Ubuntu, which is a symbolic cultural value of ‘being for others’, will be protective against the likelihood of neglect; this relationship will be stronger in rural compared with urban communities in Ghana. Using data obtained from a nationally representative sample of 1100 mothers (from 22 communities) in Ghana, we tested the claims using fixed effects logistic regression. The Ubuntu norms were significantly endorsed in rural communities compared with the urban. The overall model showed that higher levels of Ubuntu are associated with lower odds of child neglect (OR .47, [.29, .76] p < 0.05), and the relationship remained significant only in the rural sample (OR .13, [.06, .31] p < 0.001). Similar evidence was recorded for the Ubuntu norms of community care and compassion. The results suggest that child protection in rural Ghana can be fruitful when interventions are developed to boost the value of Ubuntu and the norms of collective childcare.     

A strong (Ross) characterization of multivariate risk aversion

Using the addition of uncorrelated noise as a natural definition of increasing risk for multivariate lotteries, I interpret risk aversion as the willingness to pay a (possibly random) vector premium in exchange for a reduction in multivariate risk. If no restriction is placed on the sign of any co-ordinate of the vector premium then (as was the case in Kihlstrom and Mirman's (1974) analysis) only pairs of expected utility maximizers with thesame ordinal preferences for outcomes can be ranked in terms of their aversion to increasing risk. However, if we restrict the premium to be a non-negative random variable then comparisons of aversion to increasing risk may be possible between expected utility maximizers withdistinct ordinal preferences for outcomes. The relationship between their utility functions is precisely the multi-dimensional analog of Ross's (1981)global condition forstrongly more risk averse.